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Finding the Fourth Proportional to 547.24, 755.10 and 350.71

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Solution

The fourth proportional to 547.24, 755.10 and 350.71 is: 483.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 755.10 = 350.71 : x
  2. Step 2: Convert to fraction form
    547.24/755.10 = 350.71/x
  3. Step 3: Cross multiply
    547.24x = 755.10 × 350.71
  4. Step 4: Simplify right side
    547.24x = 264,821.12
  5. Step 5: Solve for x
    x = 264,821.12/547.24
  6. Step 6: Final answer
    x = 483.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.